betaO0 : intercept in outcome equation
ANOVA : Logit - Logit Specification
| (Intercept) |
58.62 |
1 |
213.02 |
0.00 |
| dependence |
174.89 |
1 |
635.55 |
0.00 |
| selectivity |
4.08 |
1 |
14.82 |
0.00 |
| x_dist |
20.75 |
3 |
25.13 |
0.00 |
| dependence:selectivity |
25.53 |
1 |
92.78 |
0.00 |
| dependence:x_dist |
14.69 |
3 |
17.79 |
0.00 |
| selectivity:x_dist |
2.41 |
3 |
2.92 |
0.03 |
| dependence:selectivity:x_dist |
0.24 |
3 |
0.30 |
0.83 |
| Residuals |
3923.63 |
14258 |
NA |
NA |
Effect Size for ANOVA : Logit - Logit Specification
| dependence |
0.04 |
0.95 |
0.04 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.01 |
0.95 |
0.00 |
1 |
| dependence:selectivity |
0.01 |
0.95 |
0.00 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14258) = 213.02, p < .001; Eta2 (partial) = 0.04, 95% CI
[0.04, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14258) = 635.55, p < .001; Eta2 (partial) = 1.04e-03, 95%
CI [3.41e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14258) = 14.82, p < .001; Eta2 (partial) = 5.26e-03, 95%
CI [3.33e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14258) = 25.13, p < .001; Eta2 (partial) = 6.46e-03, 95%
CI [4.45e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14258) = 92.78, p < .001; Eta2
(partial) = 3.73e-03, 95% CI [2.12e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14258) = 17.79, p < .001; Eta2
(partial) = 6.15e-04, 95% CI [2.65e-05, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14258) = 2.92, p = 0.033; Eta2
(partial) = 6.24e-05, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14258) = 0.30, p = 0.828;
Eta2 (partial) = 0.04, 95% CI [0.04, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Normal Specification
| (Intercept) |
12.63 |
1 |
431.10 |
0.00 |
| dependence |
13.90 |
1 |
474.47 |
0.00 |
| selectivity |
1.16 |
1 |
39.76 |
0.00 |
| x_dist |
1.95 |
3 |
22.22 |
0.00 |
| dependence:selectivity |
1.29 |
1 |
44.08 |
0.00 |
| dependence:x_dist |
1.31 |
3 |
14.95 |
0.00 |
| selectivity:x_dist |
0.03 |
3 |
0.35 |
0.79 |
| dependence:selectivity:x_dist |
0.09 |
3 |
0.98 |
0.40 |
| Residuals |
421.44 |
14384 |
NA |
NA |
Effect Size for ANOVA : Logit - Normal Specification
| dependence |
0.03 |
0.95 |
0.03 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity |
0.00 |
0.95 |
0.00 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 431.10, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 474.47, p < .001; Eta2 (partial) = 2.76e-03, 95%
CI [1.51e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14384) = 39.76, p < .001; Eta2 (partial) = 4.61e-03, 95%
CI [2.82e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 22.22, p < .001; Eta2 (partial) = 3.06e-03, 95%
CI [1.73e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14384) = 44.08, p < .001; Eta2
(partial) = 3.11e-03, 95% CI [1.65e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 14.95, p < .001; Eta2
(partial) = 7.29e-05, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14384) = 0.35, p = 0.789; Eta2
(partial) = 2.03e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14384) = 0.98, p = 0.403;
Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Poisson Specification
| (Intercept) |
2.83 |
1 |
774.33 |
0 |
| dependence |
3.03 |
1 |
829.15 |
0 |
| selectivity |
0.19 |
1 |
52.39 |
0 |
| x_dist |
0.88 |
3 |
80.25 |
0 |
| dependence:selectivity |
0.27 |
1 |
74.38 |
0 |
| dependence:x_dist |
0.97 |
3 |
88.07 |
0 |
| selectivity:x_dist |
0.12 |
3 |
10.83 |
0 |
| dependence:selectivity:x_dist |
0.13 |
3 |
12.15 |
0 |
| Residuals |
52.61 |
14384 |
NA |
NA |
Effect Size for ANOVA : Logit - Poisson Specification
| dependence |
0.05 |
0.95 |
0.05 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.02 |
0.95 |
0.01 |
1 |
| dependence:selectivity |
0.01 |
0.95 |
0.00 |
1 |
| dependence:x_dist |
0.02 |
0.95 |
0.01 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 774.33, p < .001; Eta2 (partial) = 0.05, 95% CI
[0.05, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 829.15, p < .001; Eta2 (partial) = 3.63e-03, 95%
CI [2.17e-03, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 52.39, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.01, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 80.25, p < .001; Eta2 (partial) = 5.14e-03, 95%
CI [3.37e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 74.38, p < .001; Eta2 (partial)
= 0.02, 95% CI [0.01, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 88.07, p < .001; Eta2
(partial) = 2.25e-03, 95% CI [1.02e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 10.83, p < .001; Eta2
(partial) = 2.53e-03, 95% CI [1.22e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 12.15, p < .001;
Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Probit Specification
| (Intercept) |
47.15 |
1 |
299.85 |
0.00 |
| dependence |
91.32 |
1 |
580.81 |
0.00 |
| selectivity |
4.66 |
1 |
29.67 |
0.00 |
| x_dist |
8.17 |
3 |
17.32 |
0.00 |
| dependence:selectivity |
11.01 |
1 |
70.03 |
0.00 |
| dependence:x_dist |
10.60 |
3 |
22.48 |
0.00 |
| selectivity:x_dist |
1.73 |
3 |
3.67 |
0.01 |
| dependence:selectivity:x_dist |
0.42 |
3 |
0.90 |
0.44 |
| Residuals |
2242.14 |
14260 |
NA |
NA |
Effect Size for ANOVA : Logit - Probit Specification
| dependence |
0.04 |
0.95 |
0.03 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity |
0.00 |
0.95 |
0.00 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14260) = 299.85, p < .001; Eta2 (partial) = 0.04, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14260) = 580.81, p < .001; Eta2 (partial) = 2.08e-03, 95%
CI [1.01e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14260) = 29.67, p < .001; Eta2 (partial) = 3.63e-03, 95%
CI [2.04e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14260) = 17.32, p < .001; Eta2 (partial) = 4.89e-03, 95%
CI [3.16e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14260) = 70.03, p < .001; Eta2
(partial) = 4.71e-03, 95% CI [2.89e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14260) = 22.48, p < .001; Eta2
(partial) = 7.71e-04, 95% CI [9.60e-05, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14260) = 3.67, p = 0.012; Eta2
(partial) = 1.89e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14260) = 0.90, p = 0.441;
Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Logit Specification
| (Intercept) |
51.90 |
1 |
275.86 |
0.00 |
| dependence |
89.80 |
1 |
477.35 |
0.00 |
| selectivity |
4.97 |
1 |
26.42 |
0.00 |
| x_dist |
19.73 |
3 |
34.96 |
0.00 |
| dependence:selectivity |
23.38 |
1 |
124.28 |
0.00 |
| dependence:x_dist |
12.12 |
3 |
21.47 |
0.00 |
| selectivity:x_dist |
3.30 |
3 |
5.85 |
0.00 |
| dependence:selectivity:x_dist |
0.08 |
3 |
0.15 |
0.93 |
| Residuals |
2691.60 |
14307 |
NA |
NA |
Effect Size for ANOVA : Probit - Logit Specification
| dependence |
0.03 |
0.95 |
0.03 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.01 |
0.95 |
0.01 |
1 |
| dependence:selectivity |
0.01 |
0.95 |
0.01 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14307) = 275.86, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14307) = 477.35, p < .001; Eta2 (partial) = 1.84e-03, 95%
CI [8.53e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14307) = 26.42, p < .001; Eta2 (partial) = 7.28e-03, 95%
CI [5.01e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14307) = 34.96, p < .001; Eta2 (partial) = 8.61e-03, 95%
CI [6.27e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14307) = 124.28, p < .001; Eta2
(partial) = 4.48e-03, 95% CI [2.71e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14307) = 21.47, p < .001; Eta2
(partial) = 1.22e-03, 95% CI [3.43e-04, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14307) = 5.85, p < .001; Eta2
(partial) = 3.11e-05, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14307) = 0.15, p = 0.931;
Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Normal Specification
| (Intercept) |
8.79 |
1 |
381.22 |
0.00 |
| dependence |
9.86 |
1 |
427.66 |
0.00 |
| selectivity |
1.03 |
1 |
44.66 |
0.00 |
| x_dist |
1.84 |
3 |
26.65 |
0.00 |
| dependence:selectivity |
1.61 |
1 |
69.98 |
0.00 |
| dependence:x_dist |
1.42 |
3 |
20.57 |
0.00 |
| selectivity:x_dist |
0.10 |
3 |
1.46 |
0.22 |
| dependence:selectivity:x_dist |
0.33 |
3 |
4.80 |
0.00 |
| Residuals |
331.54 |
14384 |
NA |
NA |
Effect Size for ANOVA : Probit - Normal Specification
| dependence |
0.03 |
0.95 |
0.02 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.01 |
0.95 |
0.00 |
1 |
| dependence:selectivity |
0.00 |
0.95 |
0.00 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 381.22, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.02, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 427.66, p < .001; Eta2 (partial) = 3.10e-03, 95%
CI [1.76e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14384) = 44.66, p < .001; Eta2 (partial) = 5.53e-03, 95%
CI [3.56e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 26.65, p < .001; Eta2 (partial) = 4.84e-03, 95%
CI [3.13e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14384) = 69.98, p < .001; Eta2
(partial) = 4.27e-03, 95% CI [2.55e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 20.57, p < .001; Eta2
(partial) = 3.04e-04, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14384) = 1.46, p = 0.224; Eta2
(partial) = 1.00e-03, 95% CI [2.17e-04, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 4.80, p = 0.002; Eta2
(partial) = 0.03, 95% CI [0.02, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Poisson Specification
| (Intercept) |
2.06 |
1 |
790.24 |
0 |
| dependence |
1.86 |
1 |
712.91 |
0 |
| selectivity |
0.14 |
1 |
55.04 |
0 |
| x_dist |
0.65 |
3 |
82.83 |
0 |
| dependence:selectivity |
0.30 |
1 |
114.90 |
0 |
| dependence:x_dist |
0.90 |
3 |
115.54 |
0 |
| selectivity:x_dist |
0.13 |
3 |
16.96 |
0 |
| dependence:selectivity:x_dist |
0.20 |
3 |
25.83 |
0 |
| Residuals |
37.54 |
14384 |
NA |
NA |
Effect Size for ANOVA : Probit - Poisson
Specification
| dependence |
0.05 |
0.95 |
0.04 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.02 |
0.95 |
0.01 |
1 |
| dependence:selectivity |
0.01 |
0.95 |
0.01 |
1 |
| dependence:x_dist |
0.02 |
0.95 |
0.02 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.01 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 790.24, p < .001; Eta2 (partial) = 0.05, 95% CI
[0.04, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 712.91, p < .001; Eta2 (partial) = 3.81e-03, 95%
CI [2.31e-03, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 55.04, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.01, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 82.83, p < .001; Eta2 (partial) = 7.93e-03, 95%
CI [5.69e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 114.90, p < .001; Eta2 (partial)
= 0.02, 95% CI [0.02, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 115.54, p < .001; Eta2
(partial) = 3.53e-03, 95% CI [1.97e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 16.96, p < .001; Eta2
(partial) = 5.36e-03, 95% CI [3.42e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 25.83, p < .001;
Eta2 (partial) = 0.05, 95% CI [0.04, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Probit Specification
| (Intercept) |
37.27 |
1 |
276.82 |
0.00 |
| dependence |
48.76 |
1 |
362.11 |
0.00 |
| selectivity |
4.16 |
1 |
30.93 |
0.00 |
| x_dist |
15.61 |
3 |
38.65 |
0.00 |
| dependence:selectivity |
13.79 |
1 |
102.42 |
0.00 |
| dependence:x_dist |
5.16 |
3 |
12.78 |
0.00 |
| selectivity:x_dist |
5.65 |
3 |
13.99 |
0.00 |
| dependence:selectivity:x_dist |
0.68 |
3 |
1.69 |
0.17 |
| Residuals |
1913.77 |
14213 |
NA |
NA |
Effect Size for ANOVA : Probit - Probit Specification
| dependence |
0.02 |
0.95 |
0.02 |
1 |
| selectivity |
0.00 |
0.95 |
0.00 |
1 |
| x_dist |
0.01 |
0.95 |
0.01 |
1 |
| dependence:selectivity |
0.01 |
0.95 |
0.01 |
1 |
| dependence:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
| dependence:selectivity:x_dist |
0.00 |
0.95 |
0.00 |
1 |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14213) = 276.82, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.02, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14213) = 362.11, p < .001; Eta2 (partial) = 2.17e-03, 95%
CI [1.08e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14213) = 30.93, p < .001; Eta2 (partial) = 8.09e-03, 95%
CI [5.69e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14213) = 38.65, p < .001; Eta2 (partial) = 7.15e-03, 95%
CI [5.03e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14213) = 102.42, p < .001; Eta2
(partial) = 2.69e-03, 95% CI [1.33e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14213) = 12.78, p < .001; Eta2
(partial) = 2.95e-03, 95% CI [1.52e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14213) = 13.99, p < .001; Eta2
(partial) = 3.57e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14213) = 1.69, p = 0.166;
Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
betaO1 : coefficient on endogenous variable X1
ANOVA : Logit - Logit Specification
| (Intercept) |
43.29 |
1 |
588.88 |
0.00 |
| dependence |
15.27 |
1 |
207.66 |
0.00 |
| selectivity |
1.18 |
1 |
16.04 |
0.00 |
| x_dist |
3.90 |
3 |
17.67 |
0.00 |
| dependence:selectivity |
3.03 |
1 |
41.29 |
0.00 |
| dependence:x_dist |
1.99 |
3 |
9.01 |
0.00 |
| selectivity:x_dist |
0.33 |
3 |
1.51 |
0.21 |
| dependence:selectivity:x_dist |
0.54 |
3 |
2.44 |
0.06 |
| Residuals |
1052.07 |
14312 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14312) = 588.88, p < .001; Eta2 (partial) = 0.01, 95% CI
[0.01, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14312) = 207.66, p < .001; Eta2 (partial) = 1.12e-03, 95%
CI [3.89e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14312) = 16.04, p < .001; Eta2 (partial) = 3.69e-03, 95%
CI [2.09e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14312) = 17.67, p < .001; Eta2 (partial) = 2.88e-03, 95%
CI [1.59e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14312) = 41.29, p < .001; Eta2
(partial) = 1.89e-03, 95% CI [7.66e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14312) = 9.01, p < .001; Eta2
(partial) = 3.16e-04, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14312) = 1.51, p = 0.211; Eta2
(partial) = 5.12e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14312) = 2.44, p = 0.062;
Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Normal Specification
| (Intercept) |
5.18 |
1 |
1235.87 |
0.00 |
| dependence |
1.02 |
1 |
244.33 |
0.00 |
| selectivity |
0.15 |
1 |
36.32 |
0.00 |
| x_dist |
2.68 |
3 |
213.04 |
0.00 |
| dependence:selectivity |
0.02 |
1 |
3.85 |
0.05 |
| dependence:x_dist |
0.01 |
3 |
1.18 |
0.32 |
| selectivity:x_dist |
0.14 |
3 |
11.33 |
0.00 |
| dependence:selectivity:x_dist |
0.01 |
3 |
0.56 |
0.64 |
| Residuals |
60.34 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 1235.87, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.01, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 244.33, p < .001; Eta2 (partial) = 2.52e-03, 95%
CI [1.33e-03, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 36.32, p < .001; Eta2 (partial) = 0.04, 95% CI
[0.04, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 213.04, p < .001; Eta2 (partial) = 2.68e-04, 95%
CI [2.07e-07, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14384) = 3.85, p = 0.050; Eta2
(partial) = 2.46e-04, 95% CI [0.00, 1.00])
- The interaction between dependence and x_dist is statistically not
significant and very small (F(3, 14384) = 1.18, p = 0.316; Eta2
(partial) = 2.36e-03, 95% CI [1.10e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 11.33, p < .001; Eta2
(partial) = 1.17e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14384) = 0.56, p = 0.640;
Eta2 (partial) = 0.02, 95% CI [0.01, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Poisson Specification
| (Intercept) |
0.57 |
1 |
677.56 |
0 |
| dependence |
0.49 |
1 |
587.57 |
0 |
| selectivity |
0.02 |
1 |
25.51 |
0 |
| x_dist |
1.48 |
3 |
589.02 |
0 |
| dependence:selectivity |
0.04 |
1 |
42.00 |
0 |
| dependence:x_dist |
0.61 |
3 |
243.77 |
0 |
| selectivity:x_dist |
0.04 |
3 |
14.91 |
0 |
| dependence:selectivity:x_dist |
0.08 |
3 |
31.43 |
0 |
| Residuals |
12.07 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 677.56, p < .001; Eta2 (partial) = 0.04, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 587.57, p < .001; Eta2 (partial) = 1.77e-03, 95%
CI [8.06e-04, 1.00])
- The main effect of selectivity is statistically significant and
medium (F(1, 14384) = 25.51, p < .001; Eta2 (partial) = 0.11, 95% CI
[0.10, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 589.02, p < .001; Eta2 (partial) = 2.91e-03, 95%
CI [1.62e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 42.00, p < .001; Eta2 (partial)
= 0.05, 95% CI [0.04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 243.77, p < .001; Eta2
(partial) = 3.10e-03, 95% CI [1.64e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 14.91, p < .001; Eta2
(partial) = 6.51e-03, 95% CI [4.37e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 31.43, p < .001;
Eta2 (partial) = 0.04, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Probit Specification
| (Intercept) |
19.87 |
1 |
284.90 |
0.00 |
| dependence |
10.34 |
1 |
148.28 |
0.00 |
| selectivity |
0.19 |
1 |
2.66 |
0.10 |
| x_dist |
4.54 |
3 |
21.70 |
0.00 |
| dependence:selectivity |
3.34 |
1 |
47.89 |
0.00 |
| dependence:x_dist |
1.60 |
3 |
7.67 |
0.00 |
| selectivity:x_dist |
1.06 |
3 |
5.06 |
0.00 |
| dependence:selectivity:x_dist |
0.27 |
3 |
1.30 |
0.27 |
| Residuals |
993.22 |
14241 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14241) = 284.90, p < .001; Eta2 (partial) = 0.01, 95% CI
[7.72e-03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14241) = 148.28, p < .001; Eta2 (partial) = 1.87e-04, 95%
CI [0.00, 1.00])
- The main effect of selectivity is statistically not significant and
very small (F(1, 14241) = 2.66, p = 0.103; Eta2 (partial) = 4.55e-03,
95% CI [2.76e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14241) = 21.70, p < .001; Eta2 (partial) = 3.35e-03, 95%
CI [1.95e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14241) = 47.89, p < .001; Eta2
(partial) = 1.61e-03, 95% CI [5.83e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14241) = 7.67, p < .001; Eta2
(partial) = 1.06e-03, 95% CI [2.48e-04, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14241) = 5.06, p = 0.002; Eta2
(partial) = 2.73e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14241) = 1.30, p = 0.273;
Eta2 (partial) = 0.01, 95% CI [7.72e-03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Logit Specification
| (Intercept) |
50.17 |
1 |
786.94 |
0.00 |
| dependence |
9.35 |
1 |
146.66 |
0.00 |
| selectivity |
2.68 |
1 |
42.00 |
0.00 |
| x_dist |
3.69 |
3 |
19.28 |
0.00 |
| dependence:selectivity |
2.32 |
1 |
36.45 |
0.00 |
| dependence:x_dist |
0.79 |
3 |
4.12 |
0.01 |
| selectivity:x_dist |
0.26 |
3 |
1.34 |
0.26 |
| dependence:selectivity:x_dist |
0.47 |
3 |
2.45 |
0.06 |
| Residuals |
911.69 |
14301 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14301) = 786.94, p < .001; Eta2 (partial) = 0.01, 95% CI
[7.59e-03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14301) = 146.66, p < .001; Eta2 (partial) = 2.93e-03, 95%
CI [1.63e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14301) = 42.00, p < .001; Eta2 (partial) = 4.03e-03, 95%
CI [2.35e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14301) = 19.28, p < .001; Eta2 (partial) = 2.54e-03, 95%
CI [1.35e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14301) = 36.45, p < .001; Eta2
(partial) = 8.63e-04, 95% CI [1.42e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14301) = 4.12, p = 0.006; Eta2
(partial) = 2.81e-04, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14301) = 1.34, p = 0.260; Eta2
(partial) = 5.13e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14301) = 2.45, p = 0.062;
Eta2 (partial) = 0.01, 95% CI [7.59e-03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Normal Specification
| (Intercept) |
5.21 |
1 |
1132.52 |
0.00 |
| dependence |
1.30 |
1 |
282.27 |
0.00 |
| selectivity |
0.14 |
1 |
30.85 |
0.00 |
| x_dist |
3.04 |
3 |
220.41 |
0.00 |
| dependence:selectivity |
0.08 |
1 |
18.09 |
0.00 |
| dependence:x_dist |
0.08 |
3 |
6.15 |
0.00 |
| selectivity:x_dist |
0.25 |
3 |
18.24 |
0.00 |
| dependence:selectivity:x_dist |
0.02 |
3 |
1.52 |
0.21 |
| Residuals |
66.23 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 1132.52, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.02, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 282.27, p < .001; Eta2 (partial) = 2.14e-03, 95%
CI [1.06e-03, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 30.85, p < .001; Eta2 (partial) = 0.04, 95% CI
[0.04, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 220.41, p < .001; Eta2 (partial) = 1.26e-03, 95%
CI [4.73e-04, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14384) = 18.09, p < .001; Eta2
(partial) = 1.28e-03, 95% CI [3.79e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 6.15, p < .001; Eta2
(partial) = 3.79e-03, 95% CI [2.17e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 18.24, p < .001; Eta2
(partial) = 3.16e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14384) = 1.52, p = 0.208;
Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Poisson Specification
| (Intercept) |
0.51 |
1 |
618.29 |
0 |
| dependence |
0.30 |
1 |
359.31 |
0 |
| selectivity |
0.02 |
1 |
24.22 |
0 |
| x_dist |
1.67 |
3 |
672.46 |
0 |
| dependence:selectivity |
0.03 |
1 |
38.86 |
0 |
| dependence:x_dist |
0.48 |
3 |
193.80 |
0 |
| selectivity:x_dist |
0.09 |
3 |
35.45 |
0 |
| dependence:selectivity:x_dist |
0.07 |
3 |
27.44 |
0 |
| Residuals |
11.89 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 618.29, p < .001; Eta2 (partial) = 0.02, 95% CI
[0.02, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 359.31, p < .001; Eta2 (partial) = 1.68e-03, 95%
CI [7.45e-04, 1.00])
- The main effect of selectivity is statistically significant and
medium (F(1, 14384) = 24.22, p < .001; Eta2 (partial) = 0.12, 95% CI
[0.11, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 672.46, p < .001; Eta2 (partial) = 2.69e-03, 95%
CI [1.46e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 38.86, p < .001; Eta2 (partial)
= 0.04, 95% CI [0.03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 193.80, p < .001; Eta2
(partial) = 7.34e-03, 95% CI [5.07e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 35.45, p < .001; Eta2
(partial) = 5.69e-03, 95% CI [3.69e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 27.44, p < .001;
Eta2 (partial) = 0.02, 95% CI [0.02, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Probit Specification
| (Intercept) |
27.79 |
1 |
368.25 |
0.00 |
| dependence |
8.05 |
1 |
106.68 |
0.00 |
| selectivity |
1.08 |
1 |
14.32 |
0.00 |
| x_dist |
7.76 |
3 |
34.26 |
0.00 |
| dependence:selectivity |
5.56 |
1 |
73.63 |
0.00 |
| dependence:x_dist |
0.27 |
3 |
1.18 |
0.32 |
| selectivity:x_dist |
2.92 |
3 |
12.89 |
0.00 |
| dependence:selectivity:x_dist |
1.17 |
3 |
5.16 |
0.00 |
| Residuals |
1071.72 |
14204 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and very
small (F(1, 14204) = 368.25, p < .001; Eta2 (partial) = 7.45e-03, 95%
CI [5.28e-03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14204) = 106.68, p < .001; Eta2 (partial) = 1.01e-03, 95%
CI [3.22e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14204) = 14.32, p < .001; Eta2 (partial) = 7.18e-03, 95%
CI [4.92e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14204) = 34.26, p < .001; Eta2 (partial) = 5.16e-03, 95%
CI [3.37e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14204) = 73.63, p < .001; Eta2
(partial) = 2.48e-04, 95% CI [0.00, 1.00])
- The interaction between dependence and x_dist is statistically not
significant and very small (F(3, 14204) = 1.18, p = 0.317; Eta2
(partial) = 2.71e-03, 95% CI [1.35e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14204) = 12.89, p < .001; Eta2
(partial) = 1.09e-03, 95% CI [2.61e-04, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and very small (F(3, 14204) = 5.16, p = 0.001;
Eta2 (partial) = 7.45e-03, 95% CI [5.28e-03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
betaO2 : coefficient on exogenous variable X2
ANOVA : Logit - Logit Specification
| (Intercept) |
27.40 |
1 |
456.02 |
0.00 |
| dependence |
30.96 |
1 |
515.43 |
0.00 |
| selectivity |
0.79 |
1 |
13.08 |
0.00 |
| x_dist |
2.25 |
3 |
12.47 |
0.00 |
| dependence:selectivity |
2.80 |
1 |
46.67 |
0.00 |
| dependence:x_dist |
5.31 |
3 |
29.48 |
0.00 |
| selectivity:x_dist |
0.35 |
3 |
1.92 |
0.12 |
| dependence:selectivity:x_dist |
0.18 |
3 |
1.02 |
0.38 |
| Residuals |
857.93 |
14281 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14281) = 456.02, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14281) = 515.43, p < .001; Eta2 (partial) = 9.15e-04, 95%
CI [2.72e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14281) = 13.08, p < .001; Eta2 (partial) = 2.61e-03, 95%
CI [1.28e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14281) = 12.47, p < .001; Eta2 (partial) = 3.26e-03, 95%
CI [1.88e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14281) = 46.67, p < .001; Eta2
(partial) = 6.16e-03, 95% CI [4.07e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14281) = 29.48, p < .001; Eta2
(partial) = 4.03e-04, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14281) = 1.92, p = 0.124; Eta2
(partial) = 2.14e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14281) = 1.02, p = 0.384;
Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Normal Specification
| (Intercept) |
3.89 |
1 |
2549.61 |
0.00 |
| dependence |
0.01 |
1 |
3.40 |
0.07 |
| selectivity |
0.07 |
1 |
43.74 |
0.00 |
| x_dist |
0.04 |
3 |
8.44 |
0.00 |
| dependence:selectivity |
0.00 |
1 |
2.44 |
0.12 |
| dependence:x_dist |
0.01 |
3 |
1.44 |
0.23 |
| selectivity:x_dist |
0.01 |
3 |
2.31 |
0.07 |
| dependence:selectivity:x_dist |
0.01 |
3 |
2.58 |
0.05 |
| Residuals |
21.93 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and very
small (F(1, 14384) = 2549.61, p < .001; Eta2 (partial) = 2.36e-04,
95% CI [0.00, 1.00])
- The main effect of dependence is statistically not significant and
very small (F(1, 14384) = 3.40, p = 0.065; Eta2 (partial) = 3.03e-03,
95% CI [1.71e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14384) = 43.74, p < .001; Eta2 (partial) = 1.76e-03, 95%
CI [6.82e-04, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 8.44, p < .001; Eta2 (partial) = 1.70e-04, 95%
CI [0.00, 1.00])
- The interaction between dependence and selectivity is statistically
not significant and very small (F(1, 14384) = 2.44, p = 0.118; Eta2
(partial) = 2.99e-04, 95% CI [0.00, 1.00])
- The interaction between dependence and x_dist is statistically not
significant and very small (F(3, 14384) = 1.44, p = 0.230; Eta2
(partial) = 4.81e-04, 95% CI [0.00, 1.00])
- The interaction between selectivity and x_dist is statistically not
significant and very small (F(3, 14384) = 2.31, p = 0.074; Eta2
(partial) = 5.37e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and very small (F(3, 14384) = 2.58, p =
0.052; Eta2 (partial) = 2.36e-04, 95% CI [0.00, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Poisson Specification
| (Intercept) |
0.39 |
1 |
1291.62 |
0 |
| dependence |
0.24 |
1 |
773.08 |
0 |
| selectivity |
0.00 |
1 |
14.72 |
0 |
| x_dist |
0.22 |
3 |
237.07 |
0 |
| dependence:selectivity |
0.04 |
1 |
125.33 |
0 |
| dependence:x_dist |
0.21 |
3 |
230.99 |
0 |
| selectivity:x_dist |
0.02 |
3 |
18.84 |
0 |
| dependence:selectivity:x_dist |
0.03 |
3 |
32.09 |
0 |
| Residuals |
4.39 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 1291.62, p < .001; Eta2 (partial) = 0.05, 95% CI
[0.05, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 773.08, p < .001; Eta2 (partial) = 1.02e-03, 95%
CI [3.34e-04, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 14.72, p < .001; Eta2 (partial) = 0.05, 95% CI
[0.04, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 237.07, p < .001; Eta2 (partial) = 8.64e-03, 95%
CI [6.30e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 125.33, p < .001; Eta2 (partial)
= 0.05, 95% CI [0.04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 230.99, p < .001; Eta2
(partial) = 3.91e-03, 95% CI [2.27e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 18.84, p < .001; Eta2
(partial) = 6.65e-03, 95% CI [4.49e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 32.09, p < .001;
Eta2 (partial) = 0.05, 95% CI [0.05, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Logit - Probit Specification
| (Intercept) |
15.53 |
1 |
282.91 |
0.00 |
| dependence |
24.60 |
1 |
447.99 |
0.00 |
| selectivity |
0.38 |
1 |
6.89 |
0.01 |
| x_dist |
3.47 |
3 |
21.06 |
0.00 |
| dependence:selectivity |
3.10 |
1 |
56.53 |
0.00 |
| dependence:x_dist |
1.31 |
3 |
7.94 |
0.00 |
| selectivity:x_dist |
0.83 |
3 |
5.06 |
0.00 |
| dependence:selectivity:x_dist |
0.24 |
3 |
1.46 |
0.22 |
| Residuals |
782.15 |
14244 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14244) = 282.91, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.03, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14244) = 447.99, p < .001; Eta2 (partial) = 4.84e-04, 95%
CI [6.73e-05, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14244) = 6.89, p = 0.009; Eta2 (partial) = 4.42e-03, 95% CI
[2.66e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14244) = 21.06, p < .001; Eta2 (partial) = 3.95e-03, 95%
CI [2.41e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14244) = 56.53, p < .001; Eta2
(partial) = 1.67e-03, 95% CI [6.20e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14244) = 7.94, p < .001; Eta2
(partial) = 1.07e-03, 95% CI [2.49e-04, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14244) = 5.06, p = 0.002; Eta2
(partial) = 3.08e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14244) = 1.46, p = 0.222;
Eta2 (partial) = 0.03, 95% CI [0.03, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Logit Specification
| (Intercept) |
38.15 |
1 |
768.67 |
0.00 |
| dependence |
10.71 |
1 |
215.88 |
0.00 |
| selectivity |
2.06 |
1 |
41.58 |
0.00 |
| x_dist |
2.46 |
3 |
16.50 |
0.00 |
| dependence:selectivity |
2.07 |
1 |
41.76 |
0.00 |
| dependence:x_dist |
2.03 |
3 |
13.65 |
0.00 |
| selectivity:x_dist |
0.70 |
3 |
4.70 |
0.00 |
| dependence:selectivity:x_dist |
0.26 |
3 |
1.72 |
0.16 |
| Residuals |
708.79 |
14282 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14282) = 768.67, p < .001; Eta2 (partial) = 0.01, 95% CI
[0.01, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14282) = 215.88, p < .001; Eta2 (partial) = 2.90e-03, 95%
CI [1.61e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14282) = 41.58, p < .001; Eta2 (partial) = 3.45e-03, 95%
CI [1.91e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14282) = 16.50, p < .001; Eta2 (partial) = 2.92e-03, 95%
CI [1.62e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14282) = 41.76, p < .001; Eta2
(partial) = 2.86e-03, 95% CI [1.46e-03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14282) = 13.65, p < .001; Eta2
(partial) = 9.87e-04, 95% CI [2.07e-04, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14282) = 4.70, p = 0.003; Eta2
(partial) = 3.61e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14282) = 1.72, p = 0.161;
Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Normal Specification
| (Intercept) |
4.11 |
1 |
2444.20 |
0.00 |
| dependence |
0.00 |
1 |
0.00 |
0.97 |
| selectivity |
0.21 |
1 |
123.07 |
0.00 |
| x_dist |
0.03 |
3 |
5.07 |
0.00 |
| dependence:selectivity |
0.00 |
1 |
0.30 |
0.59 |
| dependence:x_dist |
0.00 |
3 |
0.80 |
0.49 |
| selectivity:x_dist |
0.01 |
3 |
2.92 |
0.03 |
| dependence:selectivity:x_dist |
0.00 |
3 |
0.52 |
0.67 |
| Residuals |
24.19 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and very
small (F(1, 14384) = 2444.20, p < .001; Eta2 (partial) = 8.63e-08,
95% CI [0.00, 1.00])
- The main effect of dependence is statistically not significant and
very small (F(1, 14384) = 1.24e-03, p = 0.972; Eta2 (partial) =
8.48e-03, 95% CI [6.16e-03, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14384) = 123.07, p < .001; Eta2 (partial) = 1.06e-03, 95%
CI [2.47e-04, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14384) = 5.07, p = 0.002; Eta2 (partial) = 2.06e-05, 95% CI
[0.00, 1.00])
- The interaction between dependence and selectivity is statistically
not significant and very small (F(1, 14384) = 0.30, p = 0.587; Eta2
(partial) = 1.67e-04, 95% CI [0.00, 1.00])
- The interaction between dependence and x_dist is statistically not
significant and very small (F(3, 14384) = 0.80, p = 0.492; Eta2
(partial) = 6.09e-04, 95% CI [2.63e-05, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14384) = 2.92, p = 0.033; Eta2
(partial) = 1.08e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and very small (F(3, 14384) = 0.52, p =
0.670; Eta2 (partial) = 8.63e-08, 95% CI [0.00, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Poisson Specification
| (Intercept) |
0.38 |
1 |
1488.05 |
0.00 |
| dependence |
0.10 |
1 |
401.58 |
0.00 |
| selectivity |
0.00 |
1 |
5.71 |
0.02 |
| x_dist |
0.20 |
3 |
254.77 |
0.00 |
| dependence:selectivity |
0.04 |
1 |
149.69 |
0.00 |
| dependence:x_dist |
0.13 |
3 |
163.08 |
0.00 |
| selectivity:x_dist |
0.01 |
3 |
18.31 |
0.00 |
| dependence:selectivity:x_dist |
0.04 |
3 |
58.41 |
0.00 |
| Residuals |
3.69 |
14384 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14384) = 1488.05, p < .001; Eta2 (partial) = 0.03, 95% CI
[0.02, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14384) = 401.58, p < .001; Eta2 (partial) = 3.97e-04, 95%
CI [3.76e-05, 1.00])
- The main effect of selectivity is statistically significant and
small (F(1, 14384) = 5.71, p = 0.017; Eta2 (partial) = 0.05, 95% CI
[0.04, 1.00])
- The main effect of x_dist is statistically significant and small
(F(3, 14384) = 254.77, p < .001; Eta2 (partial) = 0.01, 95% CI
[7.73e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and small (F(1, 14384) = 149.69, p < .001; Eta2 (partial)
= 0.03, 95% CI [0.03, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14384) = 163.08, p < .001; Eta2
(partial) = 3.80e-03, 95% CI [2.18e-03, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and small (F(3, 14384) = 18.31, p < .001; Eta2 (partial)
= 0.01, 95% CI [9.12e-03, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically significant and small (F(3, 14384) = 58.41, p < .001;
Eta2 (partial) = 0.03, 95% CI [0.02, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.
Two-way Interaction Plots



ANOVA : Probit - Probit Specification
| (Intercept) |
23.00 |
1 |
402.58 |
0.0 |
| dependence |
11.64 |
1 |
203.79 |
0.0 |
| selectivity |
1.33 |
1 |
23.20 |
0.0 |
| x_dist |
5.10 |
3 |
29.74 |
0.0 |
| dependence:selectivity |
3.53 |
1 |
61.80 |
0.0 |
| dependence:x_dist |
1.35 |
3 |
7.86 |
0.0 |
| selectivity:x_dist |
1.32 |
3 |
7.67 |
0.0 |
| dependence:selectivity:x_dist |
0.17 |
3 |
0.99 |
0.4 |
| Residuals |
810.44 |
14184 |
NA |
NA |
The ANOVA suggests that:
- The main effect of (Intercept) is statistically significant and
small (F(1, 14184) = 402.58, p < .001; Eta2 (partial) = 0.01, 95% CI
[0.01, 1.00])
- The main effect of dependence is statistically significant and very
small (F(1, 14184) = 203.79, p < .001; Eta2 (partial) = 1.63e-03, 95%
CI [7.08e-04, 1.00])
- The main effect of selectivity is statistically significant and very
small (F(1, 14184) = 23.20, p < .001; Eta2 (partial) = 6.25e-03, 95%
CI [4.14e-03, 1.00])
- The main effect of x_dist is statistically significant and very
small (F(3, 14184) = 29.74, p < .001; Eta2 (partial) = 4.34e-03, 95%
CI [2.72e-03, 1.00])
- The interaction between dependence and selectivity is statistically
significant and very small (F(1, 14184) = 61.80, p < .001; Eta2
(partial) = 1.66e-03, 95% CI [6.11e-04, 1.00])
- The interaction between dependence and x_dist is statistically
significant and very small (F(3, 14184) = 7.86, p < .001; Eta2
(partial) = 1.62e-03, 95% CI [5.86e-04, 1.00])
- The interaction between selectivity and x_dist is statistically
significant and very small (F(3, 14184) = 7.67, p < .001; Eta2
(partial) = 2.09e-04, 95% CI [0.00, 1.00])
- The interaction between dependence, selectivity and x_dist is
statistically not significant and small (F(3, 14184) = 0.99, p = 0.398;
Eta2 (partial) = 0.01, 95% CI [0.01, 1.00])
Effect sizes were labelled following Field’s (2013)
recommendations.